1. Species Tetraedron acutum Playfair, 1917
2. Species Tetraedron arthrodesmiforme Woloszynska, 1914
3. Species Tetraedron asymmetricum Prescott, 1944
4. Species Tetraedron bifidum (W.B.Turner) Wille, 1909
5. Species Tetraedron bifurcatum (Wille) Lagerheim, 1893
6. Species Tetraedron caudatum (Corda) Hansgirg, 1888
7. Species Tetraedron conicum Playfair, 1918
8. Species Tetraedron constrictum G.M.Smith, 1920
9. Species Tetraedron crassispinum (Reinsch) Hansgirg, 1889
10. Species Tetraedron cruciatum (Wallich) West & G.S.West, 1902
11. Species Tetraedron cruciforme Playfair, 1917
12. Species Tetraedron decussatum (Reinsch) West & G.S.West, 1901
13. Species Tetraedron dodecaedricum (Reinsch) Hansgirg, 1889
14. Species Tetraedron glaucescens (Wittrock) Claus, 1963
15. Species Tetraedron gracile (Reinsch) Hansgirg, 1889
16. Species Tetraedron granulosum Playfair, 1918
17. Species Tetraedron hemisphaericum Skuja, 1949
18. Species Tetraedron hexacornicum C.-C.Jao & Hu, 1994
19. Species Tetraedron horridum West & G.S.West, 1897
20. Species Tetraedron hortense Playfair, 1917
21. Species Tetraedron hungaricum Hortobágyi, 1962
22. Species Tetraedron inflatum Woloszynska, 1914
23. Species Tetraedron javanicum Woloszynska, 1912
24. Species Tetraedron lunula (Reinsch) Hansgirg, 1889
25. Species Tetraedron mediocris Hindák, 1980
26. Species Tetraedron minimum (A.Braun) Hansgirg, 1889
27. Species Tetraedron minutissimum Korshikov, 1953
28. Species Tetraedron minutum (A.Braun) Hansgirg
29. Species Tetraedron multispinosum Kant & P.Gupta, 1998
30. Species Tetraedron obtusum Playfair
31. Species Tetraedron octaedricum (Rabenhorst) Hangirg, 1888
32. Species Tetraedron octopus Teiling, 1946
33. Species Tetraedron ornatum Lemmermann, 1914
34. Species Tetraedron pachydermum (Reinsch) Hansgirg, 1889
35. Species Tetraedron pannonicum Hortobágyi, 1962
36. Species Tetraedron paradoxum Woloszynska, 1914
37. Species Tetraedron pentaedricum West & G.S.West, 1895
38. Species Tetraedron proteiforme (W.B.Turner) Brunnthaler, 1915
39. Species Tetraedron pusillum (Wallich) West & G.S.West, 1897
40. Species Tetraedron pyramidatum Y.V.Roll, 1925
41. Species Tetraedron rectangulare A.M.Scott & Prescott, 1958
42. Species Tetraedron regulare Kützing, 1845
43. Species Tetraedron reticulatum (Reinsch) Hansgirg, 1889
44. Species Tetraedron roldanii Beraldi, Cevallos & Chacón-Baca, 2004 †
45. Species Tetraedron sexconicum C.-C.Jao & Z.Y.Hu, 1994
46. Species Tetraedron simmeri Schmidle
47. Species Tetraedron somogyicum Hortobágyi, 1962
48. Species Tetraedron staurastroides Y.V.Roll, 1925
49. Species Tetraedron stellatum Svirenko, 1926
50. Species Tetraedron striatum Playfair, 1917
51. Species Tetraedron triangulare Korshikov, 1953
52. Species Tetraedron trigonum (Nägeli) Hansgirg, 1888
53. Species Tetraedron trilobulatum (Reinsch) Hansgirg, 1889
54. Species Tetraedron tumidulum (Reinsch) Hansgirg, 1889
55. Species Tetraedron valdezii Kol, 1942
56. Species Tetraedron victoriae Woloszynska, 1914
57. Species Tetraedron vulgare Kützing
58. Species Tetraedron wasteneysii Playfair, 1917
59. Species Tetraëdron bengalicum (Turner) Wille ex Brunnthaler, 1915 accepted as Closteridium bengalicum W.B.Turner, 1893 (synonym)
60. Species Tetraëdron bitridens Beck-Mannagetta, 1926 accepted as Chlorotetraëdron bitridens (Beck-Mannagetta) Komárek & Kovácik, 1985 (synonym)
61. Species Tetraëdron cuspidatum (Bailey) Wille ex Brunnthaler, 1915 accepted as Spinoclosterium cuspidatum (Bailey) M.Hirano, 1949 (synonym)
62. Species Tetraëdron enorme (Ralfs) Hansgirg, 1888 accepted as Pseudostaurastrum enorme (Ralfs) Chodat, 1921 (synonym)
63. Species Tetraedron gigas (Wittrock) Hansgirg, 1888 accepted as Tetraëdriella regularis (Kützing) Fott, 1967 accepted as Tetraedron regulare Kützing, 1845 (synonym)
64. Species Tetraëdron hastatum (Reinsch) Hansgirg, 1888 accepted as Pseudostaurastrum hastatum (Reinsch) Chodat, 1921 (synonym)
65. Species Tetraëdron hastatum Schmidle, 1896 accepted as Treubaria schmidlei (Schröder) Fott & Kovácik, 1975
66. Species Tetraëdron incus (Teiling) G.M.Smith, 1926 accepted as Chlorotetraëdron incus (Teiling) Komárek & Kovácik, 1985
67. Species Tetraëdron limneticum O.Borge, 1900 accepted as Pseudostaurastrum limneticum (Borge) Couté & Rousselin, 1975 (synonym)
68. Species Tetraëdron lobulatum (Nägeli) Hansgirg, 1888 accepted as Isthmochloron lobulatum (Nägeli) Skuja, 1948
69. Species Tetraëdron longispinum (Perty) Hansgirg, 1888 accepted as Asterothrix longispina (Perty) Printz, 1914
70. Species Tetraëdron marssonii Lemmermann, 1900 accepted as Polyedrium marssonii (Lemmermann) Migula, 1907
71. Species Tetraëdron minus C.-C.Jao, 1947 accepted as Pseudostaurastrum limneticum var. minus (C.-C.Jao) Couté & Rousselin, 1975
72. Species Tetraëdron moebiusii Brunnthaler, 1915 accepted as Ophiocytium cuspidatum var. longispinum (Möbius) Lemmermann (synonym)
73. Species Tetraëdron muticum (A.Braun) Hansgirg, 1888 accepted as Goniochloris mutica (A.Braun) Fott, 1960
74. Species Tetraëdron obesum (West & G.S.West) Wille ex Brunnthaler, 1915 accepted as Closteridium obesum (West & G.S.West) G.M.Smith, 1933
75. Species Tetraëdron planctonicum G.M.Smith, 1916 accepted as Pseudostaurastrum planctonicum (G.M.Smith) Krienitz & Heynig, 1992
76. Species Tetraedron platyisthmum (W.Archer) G.S.West, 1908 accepted as Tetraedron minimum (A.Braun) Hansgirg, 1889 (synonym)
77. Species Tetraëdron punctulatum (Reinsch) Hansgirg, 1889 accepted as Goniochloris punctulata (Reinsch) Komárek, 1974
78. Species Tetraëdron quadratum (Reinsch) Hansgirg, 1889 accepted as Tetraedron minimum (A.Braun) Hansgirg, 1889
79. Species Tetraëdron quadrilobum G.M.Smith accepted as Tetraedron regulare Kützing, 1845 (synonym)
80. Species Tetraëdron raphidioides (Reinsch) Hansgirg, 1888 accepted as Actinastrum rhaphidioides (Reinsch) Brunnthaler, 1915 (synonym)
81. Species Tetraedron schmidlei (Schröder) Lemmermann, 1903 accepted as Treubaria schmidlei (Schröder) Fott & Kovácik, 1975 (synonym)
82. Species Tetraëdron siamense (W.West & G.S.West) Wille ex Brunnthaler, 1915 accepted as Closteridium siamensis (West & G.S.West) G.M.Smith, 1933 (synonym)
83. Species Tetraëdron spinulosum Schmidle, 1896 accepted as Polyedriopsis spinulosa (Schmidle) Schmidle, 1899 (synonym)
84. Species Tetraëdron triappendiculatum (Bernard) Wille accepted as Treubaria triappendiculata C.Bernard, 1908 (synonym)
85. Species Tetraëdron verrucosum G.M.Smith, 1918 accepted as Tetraëdriella verrucosa (G.M.Smith) Krienitz & Heynig, 1992
86. Species Tetraëdron victorieae accepted as Tetraedron victoriae Woloszynska, 1914 (misspelling)
87. Species Tetraedron curvatum (West) Wille ex Brunnthaler, 1915 (uncertain > unassessed)

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